Search a number
-
+
26095248 = 2432237879
BaseRepresentation
bin110001110001…
…0111010010000
31211002202221200
41203202322100
523140021443
62331151200
7434543304
oct143427220
954082850
1026095248
1113803823
1288a5500
13553889a
143673d04
152456dd3
hex18e2e90

26095248 has 60 divisors (see below), whose sum is σ = 76215360. Its totient is φ = 8319168.

The previous prime is 26095247. The next prime is 26095259. The reversal of 26095248 is 84259062.

It is a happy number.

26095248 is a `hidden beast` number, since 2 + 609 + 5 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26095241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (1270256).

Almost surely, 226095248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26095248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38107680).

26095248 is an abundant number, since it is smaller than the sum of its proper divisors (50120112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26095248 is a wasteful number, since it uses less digits than its factorization.

26095248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26095248 is about 5108.3508101931. The cubic root of 26095248 is about 296.6109247345.

The spelling of 26095248 in words is "twenty-six million, ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 7879 15758 23637 31516 47274 63032 70911 94548 126064 141822 181217 189096 283644 362434 378192 543651 567288 724868 1087302 1134576 1449736 1630953 2174604 2899472 3261906 4349208 6523812 8698416 13047624 26095248